Answer:
The coordinates of the circumcenter of this triangle are (3,2)
Step-by-step explanation:
we know that
The circumcenter is the point where the perpendicular bisectors of a triangle intersect
we have the coordinates
step 1
Find the midpoint AB
The formula to calculate the midpoint between two points is equal to
substitute the values
step 2
Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)
Is a horizontal line (parallel to the x-axis)
-----> equation A
step 3
Find the midpoint BC
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)
Is a vertical line (parallel to the y-axis)
-----> equation B
step 5
Find the circumcenter
The circumcenter is the intersection point between the equation A and equation B
-----> equation A
-----> equation B
The intersection point is (3,2)
therefore
The coordinates of the circumcenter of this triangle are (3,2)
When the rocket accelerates up, the thrust is greater than the combined lift and drag, therefore making it go upward. Thrust from the engine / or whatever the power source is makes it lift.
Hope that helps!
Answer:
The most reasonable is 2 h
Step-by-step explanation:
If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.
Answer:
A. Dashed line, shaded above.
Step-by-step explanation:
If the sign is < or > it's dashed line. If it's or equal to it's always solid.
If the sign is > it's shaded above, if it's < it's shaded below.
^Virtuoso helper^
Answer:
0.3125 = 31.25% probability that it is not ideal.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
0.5 probability of a children being a girl:
This means that 
If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?
Not ideal is less than two girls, so this is P(X < 2).
Four children means that 
. So
0.3125 = 31.25% probability that it is not ideal.
